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A group can charter a particular aircraft at a fixed total co

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A group can charter a particular aircraft at a fixed total co [#permalink] New post 24 May 2019, 01:55
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A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than 40 people, then the cost per person is greater by $12.

(a) What is the fixed total cost to charter the aircraft?

(b) What is the cost per person if 40 people charter the aircraft?

[Reveal] Spoiler: OA
(a) $4,320 (b) $108


Math Review
Question: 15
Page: 245
Difficulty: medium

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Re: A group can charter a particular aircraft at a fixed total co [#permalink] New post 25 May 2019, 04:24
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Carcass wrote:
A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than 40 people, then the cost per person is greater by $12.

(a) What is the fixed total cost to charter the aircraft?

(b) What is the cost per person if 40 people charter the aircraft?

[Reveal] Spoiler: OA
(a) $4,320 (b) $108


Math Review
Question: 15
Page: 245
Difficulty: medium


cost per person = (total cost)/(number of people)

If 36 people charter the aircraft rather than 40 people, then the cost per person is greater by $12.
Let's start with a "word equation": (cost per person with 36 people) = (cost per person with 40 people) + 12
Let f = fixed cost (aka TOTAL cost)
We can write: f/36 = f/40 + 12
Multiply both sides by 360 to get: 10f = 9f + 4320
Subtract 9f from both sides: f = 4320

(a) What is the fixed total cost to charter the aircraft?
The fixed cost = $4320

(b) What is the cost per person if 40 people charter the aircraft?
cost per person = $4320/40 = $108

Cheers,
Brent
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Re: A group can charter a particular aircraft at a fixed total co [#permalink] New post 24 May 2020, 07:48
Carcass wrote:
A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than 40 people, then the cost per person is greater by $12.

(a) What is the fixed total cost to charter the aircraft?

(b) What is the cost per person if 40 people charter the aircraft?

[Reveal] Spoiler: OA
(a) $4,320 (b) $108


Math Review
Question: 15
Page: 245
Difficulty: medium


So in the qa we are asked after FC.

Observing the stem we can see that we are given the information as to what the cost situation would be if we have 40 people and if we have 36 people.

From the given information we know that we have 12 more per person if we have 4 less people on board.

This meaning that these 4 people would equal the additional cost that each person has to pay for them, when they are absent.

This giving us 36*12=432-->which means that 4 people would be worth 432 of the cost of the airplane if we were to have 40 people on board.

Now to calculate the FC we would just multiply the 432*10, which would in return yield back 4320.

For qb we would just divide the FC with the 40-->108 per person
Re: A group can charter a particular aircraft at a fixed total co   [#permalink] 24 May 2020, 07:48
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